Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	222×	body	80	valid
2.0ms	26×	body	640	valid
1.0ms	15×	body	1280	valid
1.0ms	15×	body	320	valid
0.0ms	6×	body	160	valid

simplify16.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	27	9
3	68	9
4	172	9
5	369	9
6	713	9
7	1304	9
8	2125	9
9	2897	9
10	3402	9
11	3979	9
12	4200	9
13	4998	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
1.7b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

22.0ms	(* (- 1.0 x) (- 1.0 y))
3.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series46.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (- 1.0 x) (- 1.0 y))
24.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify2.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (776.0ms)

Iter	Nodes	Cost
0	101	691
1	276	649
2	1028	617
3	4531	611
done	5000	611

prune109.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

10.0ms

(* y (- x 1.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* y (- x 1.0))

simplify1.9s

Counts

29 → 29

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	52	217
1	112	206
2	375	186
3	1203	186
4	3121	186
done	5001	186

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0) y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+ (* x y) (* (- 1.0) y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ (* x y) (* (- 1.0) y))

simplify4.3s

Counts

17 → 17

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	31	188
1	106	135
2	394	122
3	1462	118
4	4673	116
done	5000	116

prune35.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	17	10
3	18	10
done	18	10

end0.0ms

sample427.0ms

Algorithm

intervals

Results

138.0ms	6907×	body	80	valid
59.0ms	848×	body	640	valid
41.0ms	443×	body	1280	valid
29.0ms	550×	body	320	valid
16.0ms	342×	body	160	valid